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Bifurcation of burst response in an Amari‐Hopfield neuron pair with a periodic external force
Author(s) -
Tsuji Shigeki,
Ueta Tetsushi,
Kawakami Hiroshi,
Aihara Kazuyuki
Publication year - 2003
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.10217
Subject(s) - bursting , bifurcation , biological neuron model , neuron , computer science , neuroscience , coding (social sciences) , neural coding , physics , statistical physics , biological system , mathematics , artificial intelligence , biology , nonlinear system , quantum mechanics , statistics
To clarify the mechanism of the information processing in the brain of living organisms, and investigate information coding of a neuron, a reasonable mathematical model of a neuron is needed. Various models have been proposed and analyzed for now, some relationship between bursting response and bifurcations. In this paper, we propose a simple and effective model to realize bursting phenomena in Amari‐Hopfield coupled neurons. In this model, we can constructively design desirable bursting responses. Bifurcation diagrams and some analytical results are given, and a basic design scheme to generate a bursting is shown. © 2003 Wiley Periodicals, Inc. Electr Eng Jpn, 146(2): 43–53, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10217